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Finding the Fourth Proportional to 1,761.15, 2,641.71 and 528.51

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Solution

The fourth proportional to 1,761.15, 2,641.71 and 528.51 is: 792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.15 : 2,641.71 = 528.51 : x
  2. Step 2: Convert to fraction form
    1,761.15/2,641.71 = 528.51/x
  3. Step 3: Cross multiply
    1,761.15x = 2,641.71 × 528.51
  4. Step 4: Simplify right side
    1,761.15x = 1,396,170.15
  5. Step 5: Solve for x
    x = 1,396,170.15/1,761.15
  6. Step 6: Final answer
    x = 792.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.